Dynamics for ginzburg-landau vortices under a mixed flow

Matthias Kurzke; Christof Melcher; Roger Moser; Daniel Spirn

doi:10.1512/iumj.2009.58.3842

Dynamics for ginzburg-landau vortices under a mixed flow

Matthias Kurzke, Christof Melcher, Roger Moser, Daniel Spirn

Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We consider a complex Ginzburg-Landau equation that contains a Schrödinger term and a damping term that is proportional to the time derivative. Given well-prepared initial conditions that correspond to quantized vortices, we establish the vortex motion law until collision time.

Original language	English (US)
Pages (from-to)	2597-2621
Number of pages	25
Journal	Indiana University Mathematics Journal
Volume	58
Issue number	6
DOIs	https://doi.org/10.1512/iumj.2009.58.3842
State	Published - 2009

Keywords

Ginzburg-landau vortices
Mixed dynamics
Vortex motion

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AU - Moser, Roger

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KW - Mixed dynamics

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Dynamics for ginzburg-landau vortices under a mixed flow

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